What is the solution of ln (x+6) - ln9=2

x=53.50

x=60.50

x=66.50

x=72.50

Ln (x+6) - ln9=2

Using ln (a/b) = lna-lnb; with a=x+6 and b=9:

ln[ (x+6) / 9]=2

Using ln a=b→a=e^b; with a = (x+6) / 9 and b=2, where e=2.718281828

(x+6) / 9=e^2

Solving for x. Multiplying both sides of the equation by 9:

9[ (x+6) / 9]=9 (e^2)

x+6=9e^2

Subtracting 6 both sides of the equation:

x+6-6=9e^2-6

x=9e^2-6

Replacing e=2.718281828

x=9 (2.718281828) ^2-6

x=9 (7.389056096) - 6

x=66.50150486-6

x=60.50150486

Rounded to the nearest hundreth:

x=60.50

Answer: Second option x=60.50